I'm not a huge fan of PE but the point of economics to deliver cheap and quality goods to consumers not keep people in a job.
In healthcare in US in particular I think the main thing that capital should be (if regulators allow) boutique / specialists that e.g. are the best in the biz at doing MRI scans, in some states my understanding is that it's literally illegal to start a business aiming to make one small part of the process better.